Is there an actual tense named Presente Perfecto in Spanish?

Hola Frankie

No, in Spanish, the "present perfect tense in English" is called "Pretérito Perfecto or "Pretérito Perfecto compuesto", but we don't call it Presente Perfecto.

Take a look at this useful table of all common Spanish Tense names and English equivalents:

Spanish Tense Names

 

Saludos

Inma